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Question

Mother, father and son line up at random for a family picture
E: son on one end,
F: father in middle.
Determine P(E|F)

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Solution

If mother (M), father (F) and son (S) line up for a family picture, then the sample space will be
S={MFS,MSF,FMS,FSM,SMF,SFM}

E={MFS,FMS,SMF,SFM}

F={MFS,SFM}

EF={MFS,SFM}

P(EF)=26=13

P(F)=26=13

P(E|F)=P(EF)P(F)=1313=1

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